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Finding the Fourth Proportional to 683,383.96, 943,106.64 and 392,992.08

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Solution

The fourth proportional to 683,383.96, 943,106.64 and 392,992.08 is: 542,350.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,383.96 : 943,106.64 = 392,992.08 : x
  2. Step 2: Convert to fraction form
    683,383.96/943,106.64 = 392,992.08/x
  3. Step 3: Cross multiply
    683,383.96x = 943,106.64 × 392,992.08
  4. Step 4: Simplify right side
    683,383.96x = 370,633,440,115.41
  5. Step 5: Solve for x
    x = 370,633,440,115.41/683,383.96
  6. Step 6: Final answer
    x = 542,350.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.